3 papers
math.HO2021
Some properties of rectangle and a random point
Quang Hung Tran
We establish a relationship between the two important central lines of the triangle, the Euler line and the Brocard axis, in a configuration with an arbitrary rectangle and a rando…
math.HO2021
A family of weighted Erdős-Mordell inequality and applications
Tran Quang Hung
We establish some new generalizations of Erdős-Mordell inequality by adding weights to its terms. Using these generalizations, we derived strengthened versions of the original Erdő…
math.HO2019
Some Constructions of the Golden Ratio in an Arbitrary Triangle
Quang Hung Tran
We establish some new constructions of the golden ratio in an arbitrary triangle using symmedians and nine-point circle.